Answer: 5n = 3d and 3n + 6 = 2d + 4
Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.
We are to select the system of equations that could be used to solve the problem.
Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:
n/d = 3/5
5n = 3d
<h3>and</h3>
(n+2)/(d+2) = 2/3
3(n+2) = 2(d+2)
3n + 6 = 2d + 4
Thus, the required system of equations is,
5n = 3d and 3n + 6 = 2d + 4
Brainliest pweaseee if the answer is clear and correct! <3 ~~~
Answer:
The blank is 3
Step-by-step explanation:
1 - Give the blank a variable
x = our blank
2 - Write it out
3 - Get the denominators equal
4 - Simplify
5 - Solve for the numerators
30+7x = 51
-30 -30
7x = 21
x = 3
Answer: Interviewer-induced bias
Step-by-step explanation:
The example given in the question illustrates the Interviewer-induced bias. This occurs when the situation created by the interviewer is such that the respondent will have to give the kind f answer that the interviewer wants to hear.
For example, in the question, we can deduce that the interviewers told the interviewees that they won't be investigated and the gave bias replies based on that.
Therefore
(4y+6) +y = 46
We can combine the like terms:
5y + 6 = 46
Subtract 6 on both sides:
5y+6-6=46-6
Therefore 5y =40
Divide by 5 on both sides
5y/5 = 40/5
Therefore
y= 8
We found y but to find the value x we use y.
X= 4y+6
Therefore
x= (4*8)+ 6
Therefore
x= 32 + 6
x= 38.
Answer:
12x^2 -21x -6
Step-by-step explanation:
(3x-6)(4x+1)
FOIL
first 3x*4x= 12x^2
outer 3x*1 = 3x
inner -6*4x = -24x
last -6*1 = -6
Add them together
12x^2 +3x -24x -6
Combine like terms
12x^2 -21x -6
